faith healer

Or "healing minister", probably a more tactful title, since "faith healer" usually connotes some snake-oil salesman with a Bible in his hand. Healing is one of the "gifts of the Spirit" outlined in 1 Corinthians. Some television-age examples: Kathryn Kuhlman, Benny Hinn (who remains a
Kuhlman-besotted individual, a quarter-century after her death), Oral Roberts. There are many 1000-watt phonies out there; there are many nameless, sincere, limelight-shunning ministers (and laymen) too.